A fish and game warden captures and tags 66 deer in a local forest. A month later he captures 100 deer and that 17 of them are tagged. Estimate the actual number of deer in the forest.
A) 149 B)1,022 C) 578 D) 389
We can begin by setting up a proportion. Let x be the actual number of deer in the forest:
66/x = 17/100
To solve for x, we can cross-multiply and simplify:
66 * 100 = 17 * x
6600 = 17x
x = 6600/17
x ≈ 388.24
Since we can't have a fraction of a deer, we should round our answer to the nearest whole number. Therefore, the estimated actual number of deer in the forest is 389. The answer is (D).
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To estimate the actual number of deer in the forest, we can use a proportion.
Let's assume that the proportion of tagged deer in the second capture represents the proportion of tagged deer in the whole forest.
First, we set up the proportion:
Tagged deer / Total deer = Tagged deer in second capture / Total deer in the forest
We can plug in the known values:
17 / 100 = 66 / x
Now we can cross multiply and solve for x:
17x = 100 * 66
17x = 6600
x = 6600 / 17
x ≈ 388.24
Since the number of deer in the forest must be a whole number, we can round this estimate to the nearest whole number.
Therefore, the estimated actual number of deer in the forest is D) 389.